Some Existence Results For High Order Fractional Impulsive Differential Equation On Infinite Interval

In this paper, we consider the high order impulsive differential equation on infinite interval{D(0+)(alpha)u(t) + f(t, u(t), J(0+)(beta)+u(t), D-0+(alpha-1) u(t)) = 0, t is an element of [0, infinity)\{t(k)}(k=1)(m)Delta u((t)k) = I-kappa(u(t(kappa))), t = t(kappa), k = 1, ..., m By applying Schauder fixed points and Altman fixed points, weu(0) = u' (0) = ... = u((n-2)) (0) = 0, D-0+(alpha-1) u(infinity) = u(0)obtain some new results on the existence of solutions. -e nonlinear term of the equation contains fractional integral operator J(beta)u(t) and lower order derivative operator D(0+)(alpha-1)u(t). An example is presented to illustrate our results.